krishan acton's user avatar
krishan acton's user avatar
krishan acton's user avatar
krishan acton
  • Member for 10 years, 6 months
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6 votes

Prove that the straight line joining the middle point of the hypotenuse of a right angled triangle to the right angle is equal to half the hypotenuse.

3 votes
Accepted

Triangles within square

2 votes

Prove, in a $\Delta ABC$ with medians $BE, CF$, $BE + CF > BC\cdot\frac32$

2 votes
Accepted

Find the number of real roots of given equation.

1 vote

Area of a critical triangle ABC if PA,PB known and PC unknown

1 vote

Show that if $\sum_{n=1}^{\infty}a_n^2$ converges, then $\sum_{n=1}^{\infty}{a_n \over n}$ converges absolutely

1 vote

How to prove equilaterity of triangle in these specific conditions?

1 vote
Accepted

Show centers of squares formed by a parallelogram form a square.

1 vote

Prove that the centroid, circumcenter, incenter, and orthocenter are collinear in an isosceles triangle

1 vote

How find this maximum $S_{\Delta ABC}$

1 vote

Find number of solutions of $2^x$+$3^x$+$4^x$=$5^x$

1 vote

Simple circle geometry/ similarity question

1 vote
Accepted

Figuring out an angle in an isosceles triangle

1 vote

A Question regarding radius of circumcircle and sides of a triangle

1 vote

$f(x)=x^3+ax^2+bx+c$ where $1\ge a\ge b\ge c\ge 0$. If $\lambda$ is any root of the polynomial, show that $|\lambda|\le 1$

0 votes

Prove tangent of angle in scalene triangle inscribed in right triangle

0 votes

Finding the measurement of an angle

0 votes

How prove this $ab|a^8+b^4+1$

0 votes

Find the area of triangle

0 votes

Find out the angle of <ABC

0 votes

Equilateral triangle and area

0 votes

Find an angle of an isosceles triangle

0 votes

Polynomial inequality proof

0 votes

Problem based on Algebraic identities

0 votes

Some angles of triangle inscribed in circle and intersection of its bisectors with that circle

0 votes

How do we find the sum of this series $\sum [a+(n-1)d] b r^{n-1}$?

0 votes

$\sum_\limits{n=0}^{\infty} a_n$ converges $\implies \sum_\limits{n=0}^{\infty} a_n^2$ converges

0 votes

Show that $(A',B',C')$ form the vertices of an equilateral triangle.

0 votes
Accepted

How to find this angle?

-1 votes

Prob. 11, Chap. 3, in Baby Rudin: If $a_n > 0$ and $\sum a_n$ diverges, then how do we show that $\sum \frac{a_n}{1+a_n}$ too diverges?